# Proposed standardized definitions for vertical resolution and uncertainty in the NDACC lidar ozone and temperature algorithms - Part 1: Vertical resolution

Leblanc, Thierry; Sica, Robert J.; Gijsel, Joanna A. E. van; Godin-Beekmann, Sophie; Haefele, Alexander; Trickl, Thomas 1; Payen, Guillaume; Gabarrot, Frank
1 Institut für Meteorologie und Klimaforschung – Atmosphärische Umweltforschung (IMK-IFU), Karlsruher Institut für Technologie (KIT)

## Abstract:

A standardized approach for the definition and reporting of vertical resolution of the ozone and temperature lidar profiles contributing to the Network for the Detection for Atmospheric Composition Change (NDACC) database is proposed. Two standardized definitions homogeneously and unequivocally describing the impact of vertical filtering are recommended. The first proposed definition is based on the width of the response to a finite-impulse-type perturbation. The response is computed by convolving the filter coefficients with an impulse function, namely, a Kronecker delta function for
smoothing filters, and a Heaviside step function for derivative filters. Once the response has been computed, the proposed standardized definition of vertical resolution is given by Δz= δz × H$_{FWHM}$, where δz is the lidar’s sampling resolution and H$_{FWHM}$, is the full width at half maximum (FWHM) of the response, measured in sampling intervals. The second proposed definition relates to digital filtering theory. After applying a Laplace transform to a set of filter coefficients, the filter’s gain characterizing the effect of the filter on the signal in the frequency domain is computed,
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 Zugehörige Institution(en) am KIT Institut für Meteorologie und Klimaforschung – Atmosphärische Umweltforschung (IMK-IFU)KIT-Zentrum Klima und Umwelt (ZKU) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2016 Sprache Englisch Identifikator ISSN: 1867-1381, 1867-8548 urn:nbn:de:swb:90-606628 KITopen-ID: 1000060662 HGF-Programm 12.03.01 (POF III, LK 01) Long term observations of tropospheric Erschienen in Atmospheric measurement techniques Verlag Copernicus Publications Band 9 Heft 8 Seiten 4029-4049 Nachgewiesen in DimensionsWeb of ScienceScopus
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